3. Вычислите: 125⁵/25³⋅5⁸

$$ \frac{125^5}{25^3 \cdot 5^8} = \frac{(5^3)^5}{(5^2)^3 \cdot 5^8} = \frac{5^{3\cdot5}}{5^{2\cdot3} \cdot 5^8} = \frac{5^{15}}{5^6 \cdot 5^8} = \frac{5^{15}}{5^{6+8}} = \frac{5^{15}}{5^{14}} = 5^{15-14} = 5^1 = 5 $$

Ответ: 5